EP3139469A1 - Rotating electrical machine provided with a rotor comprising claw-shaped poles - Google Patents

Abstract

The invention relates mainly to a rotating electrical machine, for example an alternator, comprising a rotor (4) and a stator provided with notches for receiving a coil. In this invention, the rotor comprises north (N) and south (S) poles alternately formed in a direction of rotation of the rotor, said rotor having an angular polar pitch (Theta) equal to 2λ divided by 2P, where P is the number of pairs of rotor poles; and said rotor (4). Each claw-shaped magnetic pole (61, 62, 71) includes a first outer surface (712) facing said notches. The first external surface (712) has an angular opening in a cutting plane of one of the claw-shaped poles, said maximum angular aperture (Obe) for all the cutting planes of one of the poles-shaped of claw is equal to Obe = K x Theta, with K between 0.4 and 0.8.

Description

TECHNICAL FIELD OF THE INVENTION

The present invention relates to a rotor for a rotating electrical machine comprising north and south poles alternately formed in a direction of rotation of the rotor.

The invention finds a particularly advantageous application in the field of alternators, alternator starters of a motor vehicle.

BACKGROUND TECHNOLOGY

In a manner known per se, a rotating electrical machine comprises a stator provided with coils surrounding a rotor integral with a shaft. The rotor and the stator are spaced apart by an air gap. The rotor may be integral with a driving shaft and / or driven and may belong to a rotating electrical machine in the form of an alternator as described in document EP0803962 or an electric motor as described in the document EP0831580 .

The figure 1 , which is a half-sectional view, represents a polyphase rotating electrical machine in the form of an alternator of the three-phase type with internal ventilation for a motor vehicle with an internal combustion engine of the type described in document EP-A-0 515 259 to which we will refer.

The alternator includes, going from left to right of the figure 1 , that is to say, from front to back, a drive pulley 11 secured to the front end of a shaft 2, the rear end of which bears collector rings 10a, 10b belonging to a collector 1. The axis XX of the shaft 2 constitutes the axis of rotation of the machine and the collector.

Locally the shaft 2 carries the rotor 4 with an excitation winding 5 wound around a cylindrical portion 300, the ends of which are connected by wire links to the collector 1, as can also be seen in FIG. FR 2,710,197 , FR 2 710 199 and FR 2,710,200 . The rotor 4 is here a claw rotor and therefore comprises two pole wheels 6, 7 each respectively carrying a front fan 8 and rear 9 each with blades as in the document EP-A-0 515 259 . As illustrated on the figure 1 , the cylindrical portion 300 is example formed of two half-cores 65 and 75 respectively belonging to the pole wheel 6 and 7.

Each pole wheel has a plate and axial teeth or claws directed towards the other wheel with interlocking teeth from one wheel to another for forming magnetic poles.

• une bobine de rotor 5 permettant de générer un flux magnétique au passage d'un courant électrique; et
• une paire roues polaires 6, 7 composées de :
  • une portion cylindrique 300 sur laquelle ladite bobine de rotor 5 est enroulée;
  • des plateaux s'étendant radialement vers l'extérieur depuis des première et seconde portions d'extrémité de ladite portion cylindrique 300; et
  • une pluralité de pôles magnétiques en forme de griffe s'étendant axialement depuis lesdits plateaux de façon à recouvrir ladite bobine de rotor 5, lesdits pôles magnétiques en forme de griffe étant aimantés avec lesdits pôles nord et sud N, S.

In other words, said rotor 4 comprises:

• a rotor coil 5 for generating a magnetic flux at the passage of an electric current; and
• a pair of polar wheels 6, 7 consisting of:
  • a cylindrical portion 300 on which said rotor coil 5 is wound;
  • trays extending radially outwardly from first and second end portions of said cylindrical portion 300; and
  • a plurality of claw-shaped magnetic poles extending axially from said platens so as to cover said rotor coil 5, said claw-shaped magnetic poles being magnetized with said north and south poles N, S.

The magnetic poles are activated when the winding 5 is traversed by a current thanks to the slip rings of the collector 1 each in contact with a brush (not referenced) carried by a brush holder 100 integral in this embodiment of a regulator voltage not visible. The brushes are radially oriented relative to the X-X axis, while the rings 10a, 10b are axially oriented with respect to the X-X axis.

The rotor having an angular polar pitch Theta equal to 2π divided by 2P, P being the number of pole pairs of the rotor and each pole being made for example by a claw.

The regulator is connected to a direct current rectifying device 110, such as a diode bridge (two of which are visible at figure 1 ) or alternatively transistors of the MOSFET type, especially when the alternator is of the reversible type and consists of an alternator-starter as described for example in the document WO 01/69762 . This device 110 is itself electrically connected, on the one hand, to the outputs of the phases belonging to the windings 12, which comprises the stator 13 of the alternator, and on the other hand, to the vehicle's electrical system and battery. automobile. This stator 13, forming an armature in the case of an alternator, surrounds the rotor 4 and comprises a body 14 provided internally with axial notches (not visible) and windings 12. The axial notches are provided with the son or pins of the windings 12. These windings 12 have buns (not referenced) extending, on the one hand, in axial projection of part and of other of the body 14; and, on the other hand, radially above the fans 8, 9.

For the record it will be recalled that the voltage regulator has the function of controlling the current flowing in the excitation winding 5 to regulate the voltage delivered to the vehicle's electrical system and battery via the current rectifying device 110.

The fans 8, 9 extend in the vicinity respectively of a front flange, called front bearing 150, and a rear flange, called rear bearing 160 belonging to the fixed housing of the electrical machine connected to ground. The bearings 150, 160 are perforated for internal ventilation of the alternator via the fans 8, 9 when the fan assembly 8, 9 - rotor 4 - shaft 2 is rotated by the pulley 11 connected to the motor of the generator. motor vehicle by a transmission device comprising at least one belt engaged with the pulley 1. This ventilation is used to cool the windings 12, 5 and the brush holder 100 with its regulator and the straightening device 110. It is represented by arrows at the figure 1 the path followed by the coolant, here air, through the different openings of the bearings 150, 160 and inside the machine.

This device 110, the brush holder 100 and a perforated protective cover (not referenced) are carried here by the rear bearing 160 so that the rear fan 9 is more powerful than the front fan 8. In known manner, the bearings 150, 160 are interconnected, here using screws or tie rods not visible, to form a housing to be mounted on a fixed part of the vehicle.

The bearings 150, 160 each centrally carry a ball bearing 17, 18 for rotatably supporting the front and rear ends of the shaft 2 passing through the bearings 150, 160 to carry the pulley 11 and the rings 10a, 10b of the manifold 1.

These bearings have a hollow shape and here each have a portion of perforated transverse orientation carrying the bearing 17, 18 and a portion of axial orientation apertured and internally staggered in diameter to axially center and retain the stator 13 when the two bearings are connected together to form the housing.

The blades of the fans 8, 9 extend radially above the housings that have the bearings 150, 160 for mounting the bearings 17 and 18; which are thus broken down.

During the rotation of the rotor, the variation of the magnetic flux allows the generation of an alternating voltage in each phase of a winding, in the case of a multiphase winding. The alternating voltages thus generated are coupled and rectified to obtain a continuous charge voltage of the battery.

However, for each phase, the AC voltage has several frequency components. Among these components are in particular the fundamental and the harmonic 3 whose frequency is three higher than that of the fundamental.

It is known to size the machine to maximize the amplitude of the fundamental for each phase to obtain a better performance, the harmonic 3 is perceived as a disturbance that lowers the yield.

There is therefore a need for optimized machines that make it possible to exploit the harmonic 3 and to make the harmonic 3 participate in the charging of the battery.

OBJECT OF THE INVENTION

• une bobine de rotor permettant de générer un flux magnétique au passage d'un courant électrique; et
• une paire de roues polaires composées de :
  • une portion cylindrique sur laquelle ladite bobine de rotor est enroulée;
  • des plateaux s'étendant radialement vers l'extérieur depuis des première et seconde portions d'extrémité de ladite portion cylindrique; et
  • une pluralité de pôles magnétiques en forme de griffe s'étendant axialement depuis lesdits plateaux de façon à recouvrir ladite bobine de rotor, lesdits pôles magnétiques en forme de griffe étant aimantés avec lesdits pôles nord et sud (N, S),
  ledit stator entourant ledit rotor et un entrefer est défini comme étant la distance minimale entre le stator et le rotor.

The subject of the invention is thus a rotary electrical machine, for example an alternator, comprising a rotor and a stator provided with notches intended to receive a winding,
said rotor comprising north (N) and south (S) poles alternately formed in a direction of rotation of the rotor, said rotor having an Theta angular polar pitch equal to 2π divided by 2P, where P is the number of pole pairs of the rotor; and said rotor comprising:

• a rotor coil for generating a magnetic flux at the passage of an electric current; and
• a pair of polar wheels composed of:
  • a cylindrical portion on which said rotor coil is wound;
  • trays extending radially outwardly from first and second end portions of said cylindrical portion; and
  • a plurality of claw-shaped magnetic poles extending axially from said platens so as to cover said rotor coil, said claw-shaped magnetic poles being magnetized with said north and south poles (N, S),
  said stator surrounding said rotor and an air gap is defined as the minimum distance between the stator and the rotor.

According to a general characteristic of the invention, each claw-shaped magnetic pole comprises a first external surface which faces said notches, and said first outer surface has an angular opening in a cutting plane of one of the claw-shaped poles, said maximum angular aperture Obe for all of the cutting planes of one of the claw-shaped poles is equal to Obe = K x Theta, with K between 0.4 and 0.8.

The cutting plane is defined as being perpendicular to the axis of the machine, said angular aperture being defined as the maximum angle between two straight lines each passing through said axis of the machine and a point of the central outer surface, said two straight lines being contained in said section plane.

An optimization of the electromotive force and in particular of its peak for each phase is thus obtained. Thus, the electromotive force of a resulting phase of the harmonic 1 and the harmonic 3 has a peak greater than what would be obtained conventionally.

• la distance radiale entre l'ensemble des points de ladite première surface externe et le stator est inférieure à trois fois l'entrefer. On maximise ainsi la valeur du pic de la force électro motrice.
• l'ouverture angulaire de la surface externe centrale est constante pour l'ensemble des plans de coupe du pôle en forme de griffe.
• l'ouverture angulaire de la surface externe diminue pour les plans de coupe qui se rapprochent de l'extrémité du pôle en forme de griffe.
• la première surface externe dite centrale est située dans une zone centrale du pôle en forme de griffe. La première externe surface externe est située dans une zone centrale dans le sens où dans un plan de coupe perpendiculaire à l'axe de la machine tel que défini précédemment les deux distances entre un point de la première surface externe et les deux extrémités droite et gauche de la griffe définies quand on regarde la griffe depuis le stator et que l'extrémité de la griffe est située vers le haut ne sont pas différente de plus de 30%. Par exemple, on peut définir cela en termes mathématiques, si l'on définit dans un plan de coupe, d1 la distance entre un point de la première surface externe et l'extrémité gauche de la griffe et d2 la distance entre le point de la première surface externe et l'extrémité droite de la griffe, on obtient : (d1-d2)/(d1+d2)/2) < 30%. La griffe présente ainsi formée permet d'obtenir une harmonique 3 en phase avec la fondamentale.
• la première surface externe est bordée sur sa périphérie d'au moins une surface externe périphérique, la surface externe périphérique présentant une discontinuité avec la surface externe dite centrale. Ce type de forme permet de maximiser l'harmonique 3 de la force électro motrice.
• la première surface externe est bordée respectivement sur ses deux périphéries de deux surfaces externes périphériques, les deux surfaces externes périphériques présentant chacune une discontinuité avec ladite première surface externe dite centrale. Ce type de forme permet de maximiser l'harmonique 3 de la force électro motrice et permet également que la première surface externe soit située dans une zone grossièrement centrale de la griffe.
• la première surface externe périphérique est formée d'une surface plane.

Ainsi on obtient une distance encoche du stator surface externe du rotor qui est constante ce qui permet de favoriser une valeur constante de la force électromotrice ainsi obtenue.

• la surface externe périphérique est formée d'une surface plane.
• la surface externe périphérique est formée par un chanfrein.
• la surface externe périphérique présente un angle avec la surface extérieure supérieur à 30°. Cela permet d'accentuer encore la discontinuité afin d'obtenir une force électromotrice nulle sur les deux surfaces externes périphériques. En d'autres termes, les plupart des points de la surface externe périphérique sont à une distance radiale supérieure à trois fois l'entrefer. Plus l'angle est accentué plus les points de la surface externe périphérique s'éloignent rapidement au fur et à mesure que l'on progresse circonférentiellement sur le pole en forme de griffe. Ce qui permet de part l'éloignement des points de la surface périphérique par rapport aux encoches du stator d'assurer une force électromotrice nulle pour cette surface périphérique.
• le bobinage du stator présente 5 phases. Il s'agit d'une des machines pour lesquelles l'harmonique 3 n'est pas homopolaire, c'est-à-dire est variable d'une phase à l'autre.
• le bobinage du stator présente 7 phases. Il s'agit d'une des machines pour lesquelles l'harmonique 3 n'est pas homopolaire, c'est-à-dire est variable d'une phase à l'autre Il s'agit d'une des machines pour lesquelles l'harmonique 5 n'est pas homopolaire, c'est-à-dire est variable d'une phase à l'autre..
• le bobinage du stator présente un nombre de phases Nphi, Nphi étant supérieur strictement à 5 et étant impair et non divisible par 3. Il s'agit d'une des machines pour lesquelles l'harmonique 3 n'est pas homopolaire, c'est-à-dire est variable d'une phase à l'autre.
• le bobinage du stator est couplé en étoile. Un tel couplage permet une résultante entre les différentes harmoniques d'ordre 3 résultante des différentes phases favorable.

According to other characteristics taken individually or in combination:

• the radial distance between all the points of said first external surface and the stator is less than three times the gap. This maximizes the value of the peak of the electro-driving force.
• the angular aperture of the central outer surface is constant for all the cutting planes of the claw-shaped pole.
• the angular aperture of the outer surface decreases for the section planes that approach the end of the claw-shaped pole.
• the first so-called central outer surface is located in a central zone of the claw-shaped pole. The first external outer surface is located in a central zone in the sense that in a sectional plane perpendicular to the axis of the machine as defined above the two distances between a point of the first outer surface and the two right and left ends of the claw set when looking at the claw from the stator and that the end of the claw is located upwards are not different by more than 30%. For example, we can define this in mathematical terms, if we define in a plane of section, d1 the distance between a point of the first external surface and the left end of the claw and d2 the distance between the point of the first external surface and the right end of the claw, we obtain: (d1-d2) / (d1 + d2) / 2) <30%. The claw thus formed allows to obtain a harmonic 3 in phase with the fundamental.
• the first outer surface is bordered on its periphery by at least one peripheral outer surface, the peripheral outer surface having a discontinuity with the so-called central outer surface. This type of shape maximizes the harmonic 3 of the electro-driving force.
• the first outer surface is bordered respectively on its two peripheries of two outer peripheral surfaces, the two outer peripheral surfaces each having a discontinuity with said first outer surface said central. This type of shape maximizes the harmonic 3 of the electromotive force and also allows the first outer surface to be located in a roughly central area of the claw.
• the first peripheral outer surface is formed of a flat surface.

Thus we obtain a notch distance from the stator outer surface of the rotor which is constant which allows to promote a constant value of the electromotive force thus obtained.

• the peripheral outer surface is formed of a flat surface.
• the peripheral outer surface is formed by a chamfer.
• the outer peripheral surface has an angle with the outer surface greater than 30 °. This makes it possible to further accentuate the discontinuity in order to obtain a zero electromotive force on the two peripheral outer surfaces. In other words, most points of the peripheral outer surface are at a radial distance greater than three times the gap. The more the angle is accentuated the more the points of the outer peripheral surface move away rapidly as one progresses circumferentially on the claw-shaped pole. This allows from the distance of the points of the peripheral surface relative to the notches of the stator to ensure a zero electromotive force for this peripheral surface.
• the winding of the stator has 5 phases. This is one of the machines for which the harmonic 3 is not homopolar, that is to say is variable from one phase to another.
• the winding of the stator has 7 phases. This is one of the machines for which the harmonic 3 is not homopolar, that is to say it is variable from one phase to another. It is one of the machines for which the harmonic 5 is not homopolar, that is to say is variable from one phase to another.
• the winding of the stator has a number of phases Nphi, Nphi being strictly greater than 5 and being odd and not divisible by 3. It is one of the machines for which the harmonic 3 is not homopolar, it is ie is variable from one phase to another.
• the stator winding is star-coupled. Such a coupling allows a resultant between the different order 3 harmonics resulting from the different favorable phases.

BRIEF DESCRIPTION OF THE FIGURES

• La figure 1, déjà décrite, est une vue schématique en coupe transversale d'une machine électrique comprenant un rotor et un redresseur selon l'état de la technique;
• la figure 2 est une vue d'un rotor selon l'invention,
• les figures 3 et 4 sont respectivement deux courbes du flux magnétique et de la force électromotrice,
• les figures 5a et 5b sont des représentations schématiques des forces électromagnétiques, et
• la figure 6 est une courbe de la valeur maximale de la différence entre deux forces électromagnétiques.

The invention will be better understood on reading the description which follows and on examining the figures which accompany it. These figures are given for illustrative but not limiting of the invention.

• The figure 1 , already described, is a schematic cross-sectional view of an electric machine comprising a rotor and a rectifier according to the state of the art;
• the figure 2 is a view of a rotor according to the invention,
• the Figures 3 and 4 are respectively two curves of the magnetic flux and the electromotive force,
• the Figures 5a and 5b are schematic representations of electromagnetic forces, and
• the figure 6 is a curve of the maximum value of the difference between two electromagnetic forces.

Identical, similar or similar elements retain the same reference from one figure to another.

DESCRIPTION OF EXAMPLES OF EMBODIMENT OF THE INVENTION

The figure 2 illustrates a rotor of a rotating electrical machine according to the invention. The rotor of the figure 2 is different from that of the rotating electric machine of the figure 1 references to the identical elements being taken between the figures 1 and 2 . It is illustrated on the figure 2 , two claws 61 and 62 of the pole wheel 6 and a claw 71 of the pole wheel 7. The claw 71 has three outer surfaces 711, 712 and 713. These three outer surfaces each correspond to an outer surface of the rotor seen from the stator. To distinguish them, the outer surface 712 is called the central outer surface, while the two zones 711 and 713 are called peripherals.

For example, the central outer surface 712 having a planar surface ortho radial direction so that the flux transmitted from the rotor to the stator increases steadily on this central outer surface 712. Moreover, the radial distance between the outer surface and the Stator notches are minimized to maximize the flux transmitted from the rotor to the stator. In other words, the surface outer corresponding to the central outer surface 712 faces the notches of the stator and the radial distance between all the points of this outer surface and the stator is less than three times the gap.

The outer surface 712 extends axially on the outer surface of the claw 71 of the connection zone between the claw and the plate of the polar wheel to the end of the claw.

A cutting plane of the claw 71 is defined which is perpendicular to the axis of the machine. The outer surface 712 has an angular aperture in this sectional plane which is defined as the maximum angle between two straight lines passing through said axis of the machine and a point of the outer surface 712 contained in said section plane.

As can be understood, the angular aperture varies when the cutting plane is displaced axially on the claw 71. The opening Obe is defined as the maximum angular aperture of the external surface 712 when the plane of rotation is displaced. axially cut. This opening Obe can be expressed according to the polar polar pitch Theta. We then have Obe = K x Theta.

In other words, the outer surface 712 having a maximum angular aperture Obe and the flux transmitted from the outer surface 712 to the stator slots varies steadily.

This central outer surface 712 is bordered on its two circumferential ends by the two outer peripheral surfaces 711 and 713. For example, these external surfaces are made by two chamfers. For example, they have a flat surface having an angle of more than 30 ° with the central outer surface 712.

According to an embodiment not illustrated, the central outer surface 712 could be bordered by a peripheral external surface on one of its ends, for example on the right with the peripheral outer surface 713.

Claw 71 includes an unillustrated inner surface located on the inside and facing the spool. In other words, a peripheral outer surface or the two outer peripheral surfaces 711 and 713 connect the central outer surface to the inner surface. For example, the angular aperture of said inner surface is greater than the angular aperture of the central outer surface 712.

In any event, the outer peripheral surfaces 711 and 713 must have a discontinuity with the outer surface 712. Thus, the contribution of the peripheral outer surfaces 711 and 713 to the flow transmitted by the claw 71 is strongly limited.

It can therefore be considered that the flux transmitted by the claw 71 increases constantly on the central outer surface 712 of maximum angular aperture Obe and remains constant on the outer peripheral surfaces 711 and 713. In other words, when the rotor rotates, the The flux of a phase increases steadily when the surface 712 passes in front of this phase while this flux remains constant when the surfaces 711 and 713 pass.

The figure 3 illustrates a curve 310 of the flux transmitted by a rotor having a claw as described in FIG. figure 2 . This curve is represented in an orthonormal coordinate system comprises on the abscissa an axis 301 and ordinate an axis 302. The axis 301 is expressed in angular unit, for example in degree. The axis 301 expresses the rotation angle of the rotor. Axis 302 is expressed in Weber. The curve 310 thus makes it possible to express in Weber the value of the flux transmitted by the rotor as a function of its angular position expressed in degrees.

The curve 310 has mainly three zones 311, 312 and 313. The zone 312 of constant increase in flux corresponds to the external surface 712 mentioned in FIG. figure 2 , while the zones 311 and 313 correspond to the external surfaces 711 and 713 mentioned in FIG. figure 2 .

According to figure 3 it is observed that the flux transmitted by the outer surface 712 having a maximum angular aperture Obe corresponds to the zone 312 of the curve 310 and that the flux transmitted from the outer surface 712 to the stator notches varies constantly and rapidly. It is also observed that the flux transmitted by the external surfaces 711 and 713 respectively corresponding to the zones 311 and 313 of the curve 310 remains constant.

The figure 4 illustrates a curve 410 of the electromotive force also called FEM according to an acronym Anglo-Saxon well known to those skilled in the art. The curve illustrates the electromotive force generated for a phase of the rotor winding having a claw as described in FIG. figure 2 . This curve 410 is represented in an orthonormal coordinate system comprises on the abscissa an axis 401 and ordinate an axis 402. The axis 401 is expressed in angular unit, for example in degree. The axis 401 expresses the rotation angle of the rotor. The axis 402 is expressed in Volt. The curve 410 allows thus to express in volt the electromotive force for a phase as a function of the angular position of the rotor expressed in degrees.

The curve 410 has mainly three zones 411, 412 and 413. The zone 412 of maximum value of the electromotive force corresponds to the external surface 712 mentioned in FIG. figure 2 , while zones 411 and 413 of electromotive force zero correspond to the external surfaces 711 and 713 mentioned in FIG. figure 2 .

According to figure 4 it is observed that the zone 412 has the angular aperture Obe is the angular width K * Theta expressed as a function of the polar pitch Theta. In addition, the maximum of the area 412 is defined by the value V.

On the Figures 5a and 5b two types of winding connection are illustrated and their consequence on the resulting third order electromotive force.

The figure 5a illustrates for a 5-phase star connection, the resulting order 3 electromotive force 501 obtained from the electromotive force of the third order phase 3 minus the electromotive force of the third order phase 3. That is say in the form of an equation: $${\left(V_1\right)}_{3^{\mathit{rd}}}{-\left(V_3\right)}_{3^{\mathit{rd}}}=\left|{\left(V_1\right)}_{3^{\mathit{rd}}}\right|\times 1,176$$

The figure 5b illustrates for a pentagonal 5-phase connection, the resulting order 3 electromotive force 502 obtained from the electromotive force of the first-order phase 1 plus the electromotive force of the second-order phase 2. to say in the form of an equation: $${\left(V_1\right)}_{3^{\mathit{rd}}}{+\left(V_2\right)}_{3^{\mathit{rd}}}=\left|{\left(V_1\right)}_{3^{\mathit{rd}}}\right|\times 0,62$$

It therefore appears that in order to maximize the resulting order 3 electromotive force as a function of the modulus of the electromotive force of the order 3 phase, a 5-phase star coupling is more favorable than a 5-phase pentagonal pair.

The figure 6 illustrates a curve 610 which corresponds to the maximum value as a function of the K of the electromotive force difference between two non-successive phases for a 5-phase system, that is to say that the curve 610 corresponds to the electromotive force obtained at the of the rectifier for a 5-phase star coupling. It can be expressed as a formula: $${\left(\left(V_1\right)-\left(V_3\right)\right)}_{\max }$$

This curve 610 is represented in an orthonormal coordinate system comprises on the abscissa an axis 601 and ordinate an axis 602. The axis 601 is without unit. The axis 601 corresponds to the value of K mentioned above. The axis 602 is expressed in Volt. The curve 610 thus makes it possible to express in volt 610 the resulting electromotive force as a function of the value of K.

It appears that the maximum value of the resulting electromotive force is obtained for K equal to a value 604, while a floor is obtained for K values between 603 and 605.

en fonction de K. Cette formule étant obtenu à l'aide de

• ((V)_1st )_max correspondant à la valeur maximale de FEM d'une phase pour la première harmonique
• ((V)_3rd )_max correspondant à la valeur maximale de FEM d'une phase pour la troisième harmonique $${\left({\left(V\right)}_{1^{\mathit{st}}}\right)}_{\max }=V\frac{4}{\pi }\cdot \sin \left(K\cdot \frac{\pi }{2}\right)$$
  
  $${\left({\left(V\right)}_{3^{\mathit{rd}}}\right)}_{\max }=V\frac{4}{3\cdot \pi }\cdot \sin \left(3\cdot K\cdot \frac{\pi }{2}\right)$$
  

In mathematical terms, curve 610 can be expressed using the formula below: $${\left(V_1-V_3\right)}_{\max }\alpha 1902\cdot \left(K\cdot \frac{\pi }{2}\right)+\frac{1.176}{3}\sin \left(3\frac{K\cdot \pi }{2}\right),$$

according to K. This formula is obtained using

• (( V ) _{1 st max} corresponding to the maximum FEM value of a phase for the first harmonic
• (( V ) _{3 rd max} corresponding to the maximum EMF value of a phase for the third harmonic $${\left({\left(V\right)}_{1^{\mathit{st}}}\right)}_{\max }=V\frac{4}{\pi }\cdot \sin \left(K\cdot \frac{\pi }{2}\right)$$
  
  $${\left({\left(V\right)}_{3^{\mathit{rd}}}\right)}_{\max }=V\frac{4}{3\cdot \pi }\cdot \sin \left(3\cdot K\cdot \frac{\pi }{2}\right)$$
  

qui est obtenue en considérant les sommets de l'harmonique 1 qui coïncident avec les sommets de l'harmonique 3.We then obtain the formula $${\left(V_1-V_3\right)}_{\max }=\underset{t}{\max }\left[\begin{array}{c}{\left({\left(V\right)}_{1^{\mathit{st}}}\right)}_{\max }\cdot \cos \left(\omega \cdot t\right){+\left({\left(V\right)}_{3^{\mathit{rd}}}\right)}_{\max }\cdot \cos \left(3\cdot \omega \cdot t\right)\hfill \\ {-\left({\left(V\right)}_{1^{\mathit{st}}}\right)}_{\max }\cdot \cos \left(\omega \cdot t-\frac{4\pi }{5}\right){-\left({\left(V\right)}_{3^{\mathit{rd}}}\right)}_{\max }\cdot \cos \left(3\cdot \omega \cdot t-\frac{12\mathrm{<figure-callout\; id="5"\; label="\pi "\; filenames="imgf0001.png,imgf0004.png"\; state="\{\{state\}\}">\pi </figure-callout>}}{5}\right)\end{array}\right]$$

which is obtained by considering the vertices of the harmonic 1 which coincide with the vertices of the harmonic 3.

Claims (15)

Rotating electric machine, for example an alternator, comprising a rotor (4) and a stator provided with notches for receiving a winding,
said rotor comprising north (N) and south (S) poles alternately formed in a direction of rotation of the rotor, said rotor having an angular polar pitch (Theta) equal to 2π divided by 2P, where P is the number of pole pairs of the rotor; and said rotor (4) comprising: - a rotor coil (5) for generating a magnetic flux at the passage of an electric current; and - a pair of pole wheels (6, 7) composed of: a cylindrical portion (300) on which said rotor coil (5) is wound; trays extending radially outwardly from first and second end portions of said cylindrical portion (300); and a plurality of claw-shaped magnetic poles (61, 62, 71) extending axially from said trays so as to cover said rotor coil (5), said claw-shaped magnetic poles (61, 62, 71); being magnetized with said north and south poles (N, S), said stator surrounding said rotor (4) and an air gap is defined as the minimum distance between the stator and the rotor
characterized in that each claw-shaped magnetic pole (61, 62, 71) comprises a first outer surface (712) facing said notches,
and in that said first outer surface (712) has an angular opening in a cutting plane of one of the claw-shaped poles, said maximum angular aperture (Obe) for all of the cutting planes of a Claw-shaped poles are equal to Obe = K x Theta, with K between 0.4 and 0.8. Rotary electric machine according to claim 1 characterized in that the radial distance between all the points of said first outer surface (712) and the stator is less than or equal to three times the gap. Rotary electric machine according to claim 1 or 2, characterized in that the angular opening of the first central outer surface (712) is constant for all the cutting planes of the claw-shaped pole. Rotary electric machine according to claim 1 or 2, characterized in that the angular opening of the first outer surface (712) decreases for the cutting planes which approach the end of the claw-shaped pole. Rotary electric machine according to any one of claims 1 to 4, characterized in that the first outer surface (712) is located in a central region of the claw-shaped pole. Rotary electric machine according to any one of claims 1 to 5, characterized in that the first outer surface (712) is bordered on its periphery by at least one peripheral outer surface, the peripheral outer surface (711, 713) having a discontinuity with the first outer surface (712). Rotary electric machine according to any one of claims 1 to 5, characterized in that the first outer surface (712) is respectively bordered on its two peripheries by two outer peripheral surfaces, the two outer peripheral surfaces (711, 713) presenting each a discontinuity with said first so-called central outer surface (712). Rotary electric machine according to any one of claims 1 to 7, characterized in that the first outer surface (712) is formed of a flat surface. Rotary electric machine according to claim 8, characterized in that the peripheral outer surface is formed of a flat surface. Rotary electric machine according to claim 8, characterized in that the peripheral outer surface is formed by a chamfer. Rotary electric machine according to claim 9 or 10, characterized in that the peripheral outer surface has an angle with the first outer surface (712) greater than 30 °. Rotary electric machine according to any one of claims 1 to 11, characterized in that the stator winding has 5 phases. Rotary electric machine according to any one of claims 1 to 11, characterized in that the stator winding has 7 phases. Rotary electric machine according to any one of claims 1 to 11, characterized in that the stator winding has a number of phases Nphi, Nphi being strictly greater than 5 and being odd and not divisible by 3. Rotary electric machine according to any one of the preceding claims, characterized in that the stator winding is star-coupled.

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